Stratification for the singular set of approximate harmonic maps
Differential Geometry
2018-06-12 v1 Analysis of PDEs
Abstract
The aim of this note is to extend the results in arXiv:1504.02043 to the case of approximate harmonic maps. More precisely, we will proved that the singular strata of an approximate harmonic map are k-rectifiable, and we will show effect bounds on the quantitative strata. In the process we will simplify many of the arguments from arXiv:1504.02043, and in particular we produce a new main covering lemmas which vastly simplifies the older argument.
Keywords
Cite
@article{arxiv.1611.03008,
title = {Stratification for the singular set of approximate harmonic maps},
author = {Aaron Naber and Daniele Valtorta},
journal= {arXiv preprint arXiv:1611.03008},
year = {2018}
}